The radius of a right circular cylinder increases at a constant rate. Its altitude is a linear function of the radius and increases three times as fast as radius. When the radius is 1 cm the altitude is 6 cm. When the radius is 6 cm, the volume is increasing at the rate of 1 cu cm/s. When the radius is 36 cm, the volume is increasing at a rate of n cu cm/s. The value of n/11 is equal to .....